Diffeomorphism Classes of Real Bott Manifolds

Abstract

A real Bott tower is obtained as the orbit space of the $n$-torus $T^n$ by the free action of an elementary abelian 2-group $({\mathbb{Z}}_2{)}^n$. This paper deals with the classification of 5-dimensional real Bott towers and study certain type of $n$-dimensional real Bott towers ($n\ge 6$).

This paper appears in Tokyo Journal of Mathematics Vol 34 no 1 with the title: Diffeomorphism Classes of Real Bott Manifolds. This paper is the paper submitted in arXiv:0905.1742, with the title: Determination of real Bott manifolds